{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "f8ba3161",
   "metadata": {},
   "source": [
    "# Interp 8: Adding auxillary variables"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6535c1f2",
   "metadata": {},
   "source": [
    "When we do a regression task, it might be good to include auxillary input variables, even though they might be dependent on other variables. For example, to regress $m(m_0, v, c)=m_0/\\sqrt{1-(v/c)^2}$, it is desirable to include the dimensionaless varabile $\\beta = v/c$ as a separate input variable. If we also know this is a task in relativity, we may also include $\\gamma=1/\\sqrt{1-(v/c)^2}$ because $\\gamma$ appears frequently in relativity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "3b818211",
   "metadata": {},
   "outputs": [],
   "source": [
    "from kan.MultKAN import MultKAN\n",
    "from sympy import *\n",
    "from kan.utils import create_dataset, augment_input\n",
    "import torch\n",
    "\n",
    "seed = 3\n",
    "torch.manual_seed(seed)\n",
    "torch.set_default_dtype(torch.float64)\n",
    "torch.use_deterministic_algorithms(True)\n",
    "\n",
    "input_variables = m0, v, c = symbols('m0 v c')\n",
    "\n",
    "# define auxillary variables\n",
    "beta = v/c\n",
    "gamma = 1/sqrt(1-beta**2)\n",
    "\n",
    "aux_vars = (beta, gamma)\n",
    "\n",
    "f = lambda x: x[:,[0]]/torch.sqrt(1-x[:,[1]]**2/x[:,[2]]**2)\n",
    "dataset = create_dataset(f, n_var=3, ranges=[[0,1],[0,0.9],[1.1,2]])\n",
    "\n",
    "# add auxillary variables\n",
    "dataset = augment_input(input_variables, aux_vars, dataset)\n",
    "input_variables += aux_vars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "d5f4e2ff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "checkpoint directory created: ./model\n",
      "saving model version 0.0\n"
     ]
    }
   ],
   "source": [
    "model = MultKAN(width=[5,[0,1]], mult_arity=2, grid=3, k=3, seed=seed)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "4d0048ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 14 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model(dataset['train_input'])\n",
    "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "96d43c13",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 5.19e-04 | test_loss: 3.75e-03 | reg: 3.58e+00 | : 100%|█| 50/50 [00:07<00:00,  6.26it"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.1\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model.fit(dataset, steps=50, lamb=1e-5, lamb_coef=1.0);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "e04f7ac9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1000x400 with 14 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "model.plot(in_vars=input_variables, scale=1.0, varscale=0.7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4bea48d3",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.2\n"
     ]
    }
   ],
   "source": [
    "model = model.prune()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "15edb27c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "| train_loss: 8.92e-03 | test_loss: 8.97e-03 | reg: 3.50e+00 | : 100%|█| 100/100 [00:09<00:00, 10.81"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "saving model version 0.3\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "model.fit(dataset, steps=100, lamb=1e-3);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6d538725",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "f76ad464",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "fixing (0,0,0) with x, r2=0.999999999868798, c=1\n",
      "fixing (0,0,1) with 0\n",
      "fixing (0,1,0) with 0\n",
      "fixing (0,1,1) with 0\n",
      "fixing (0,2,0) with 0\n",
      "fixing (0,2,1) with 0\n",
      "fixing (0,3,0) with 0\n",
      "fixing (0,3,1) with 0\n",
      "fixing (0,4,0) with 0\n",
      "fixing (0,4,1) with x, r2=0.9999997733953018, c=1\n",
      "saving model version 0.4\n"
     ]
    }
   ],
   "source": [
    "model.auto_symbolic()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "40d3e6a9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle 1.0 \\cdot \\left(9.0376427738903 \\cdot 10^{-5} - \\frac{0.852508537795552}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}\\right) \\left(- 1.17312547362696 m_{0} - 1.12252012796077 \\cdot 10^{-7}\\right)$"
      ],
      "text/plain": [
       "1.0*(9.0376427738903e-5 - 0.852508537795552/sqrt(1 - v**2/c**2))*(-1.17312547362696*m0 - 1.12252012796077e-7)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sf = model.symbolic_formula(var=input_variables)[0][0]\n",
    "sf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5c092d69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\frac{m_{0}}{\\sqrt{1 - \\frac{v^{2}}{c^{2}}}}$"
      ],
      "text/plain": [
       "m0/sqrt(1 - v**2/c**2)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from kan.utils import ex_round\n",
    "\n",
    "nsimplify(ex_round(ex_round(ex_round(sf,6),3),3))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
